Sr Examen

Expresión (¬A&B)&(BvC)&(Av(B&C))

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    b∧(¬a)∧(b∨c)∧(a∨(b∧c))
    $$b \wedge \neg a \wedge \left(a \vee \left(b \wedge c\right)\right) \wedge \left(b \vee c\right)$$
    Solución detallada
    $$b \wedge \neg a \wedge \left(a \vee \left(b \wedge c\right)\right) \wedge \left(b \vee c\right) = b \wedge c \wedge \neg a$$
    Simplificación [src]
    $$b \wedge c \wedge \neg a$$
    b∧c∧(¬a)
    Tabla de verdad
    +---+---+---+--------+
    | a | b | c | result |
    +===+===+===+========+
    | 0 | 0 | 0 | 0      |
    +---+---+---+--------+
    | 0 | 0 | 1 | 0      |
    +---+---+---+--------+
    | 0 | 1 | 0 | 0      |
    +---+---+---+--------+
    | 0 | 1 | 1 | 1      |
    +---+---+---+--------+
    | 1 | 0 | 0 | 0      |
    +---+---+---+--------+
    | 1 | 0 | 1 | 0      |
    +---+---+---+--------+
    | 1 | 1 | 0 | 0      |
    +---+---+---+--------+
    | 1 | 1 | 1 | 0      |
    +---+---+---+--------+
    FNCD [src]
    $$b \wedge c \wedge \neg a$$
    b∧c∧(¬a)
    FNC [src]
    Ya está reducido a FNC
    $$b \wedge c \wedge \neg a$$
    b∧c∧(¬a)
    FND [src]
    Ya está reducido a FND
    $$b \wedge c \wedge \neg a$$
    b∧c∧(¬a)
    FNDP [src]
    $$b \wedge c \wedge \neg a$$
    b∧c∧(¬a)